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1214480 = 245171947
BaseRepresentation
bin100101000100000010000
32021200221202
410220200100
5302330410
642010332
713215521
oct4504020
92250852
101214480
1175a503
124a69a8
13336a37
14238848
1518eca5
hex128810

1214480 has 80 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 423936.

The previous prime is 1214471. The next prime is 1214483. The reversal of 1214480 is 844121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1214483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25817 + ... + 25863.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

21214480 is an apocalyptic number.

1214480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

1214480 is an abundant number, since it is smaller than the sum of its proper divisors (1999600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1214480 is a wasteful number, since it uses less digits than its factorization.

1214480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1214480 is about 1102.0344822191. The cubic root of 1214480 is about 106.6915740446.

The spelling of 1214480 in words is "one million, two hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 47 68 76 80 85 94 95 136 152 170 188 190 235 272 304 323 340 376 380 470 646 680 752 760 799 893 940 1292 1360 1520 1598 1615 1786 1880 2584 3196 3230 3572 3760 3995 4465 5168 6392 6460 7144 7990 8930 12784 12920 14288 15181 15980 17860 25840 30362 31960 35720 60724 63920 71440 75905 121448 151810 242896 303620 607240 1214480